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Finding the Third Proportional to 188,516 and 390,154

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Solution

The third proportional to 188,516 and 390,154 is: 807,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,516 : 390,154 = 390,154 : x
  2. Step 2: Convert to fraction form
    188,516/390,154 = 390,154/x
  3. Step 3: Cross multiply
    188,516x = 390,154 × 390,154
  4. Step 4: Simplify right side
    188,516x = 152,220,143,716
  5. Step 5: Solve for x
    x = 152,220,143,716/188,516
  6. Step 6: Final answer
    x = 807,465.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.